(4z+-2)(3z+-3)=

Solution for (4z+-2)(3z+-3)= equation:

Simplifying
(4z + -2)(3z + -3) = 0

Reorder the terms:
(-2 + 4z)(3z + -3) = 0

Reorder the terms:
(-2 + 4z)(-3 + 3z) = 0

Multiply (-2 + 4z) * (-3 + 3z)
(-2(-3 + 3z) + 4z * (-3 + 3z)) = 0
((-3 * -2 + 3z * -2) + 4z * (-3 + 3z)) = 0
((6 + -6z) + 4z * (-3 + 3z)) = 0
(6 + -6z + (-3 * 4z + 3z * 4z)) = 0
(6 + -6z + (-12z + 12z2)) = 0

Combine like terms: -6z + -12z = -18z
(6 + -18z + 12z2) = 0

Solving
6 + -18z + 12z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + -3z + 2z2) = 0

Factor a trinomial.
6((1 + -2z)(1 + -1z)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + -2z)' equal to zero and attempt to solve:

Simplifying
1 + -2z = 0

Solving
1 + -2z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2z = 0 + -1
-2z = 0 + -1

Combine like terms: 0 + -1 = -1
-2z = -1

Divide each side by '-2'.
z = 0.5

Simplifying
z = 0.5
Subproblem 2
Set the factor '(1 + -1z)' equal to zero and attempt to solve:

Simplifying
1 + -1z = 0

Solving
1 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1z = 0 + -1
-1z = 0 + -1

Combine like terms: 0 + -1 = -1
-1z = -1

Divide each side by '-1'.
z = 1

Simplifying
z = 1
Solution
z = {0.5, 1}